Learn Differential Geometry: A Beginner's Guide 📘

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How to learn differential geometry. What is the right method. Which book to read. In this video, you will learn about the learning methods and styles of differential geometry. You will get a complete road map in understanding the mathematics, why it uses calculus as well as the concepts of calculus and geometry that are related to differential geometry. You will also learn the relation between differential geometry and topology and the overlapping concepts. Most importantly, a complete guideline and procedure in learning logical reasoning and mathematical proof is also provided where you will come to know about some excellent books for learning proof based mathematical systems.

00:00 - 01:15 - Introduction
01:15 - 04:50 - What is Differential Geometry
04:51 - 11:50 - Why calculus is important
11:51 - 13:53 - Important topics in Calculus
13:54 - 15:43 - Vector calculus
15:44 - 17:09 - Differentiation and Differential equations
17:10 - 27:09 - Calculus best books
27:10 - 31:52 - What geometry you need to know
31:53 - 38:35 - Geometry book review
38:36 - 39:54 - Critical factors for learning Differential geometry
39:55 - 42:18 - Why should you learn Differential Geometry
42:19 - 47:02 - Differential geometry and Topology
47:03 - 48:47 - How to select a book
48:48 - 50:48 - Mathematical pre requisites for learning Differential Geometry
50:49 - 56:30 - Books for logical reasoning
56:31 - 58:38 - First step in learning Differential Geometry
58:39 - 59:37 - Conclusion


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My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.

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